33434320 has 40 divisors (see below), whose sum is σ = 78198120. Its totient is φ = 13294080.

The previous prime is 33434293. The next prime is 33434321. The reversal of 33434320 is 2343433.

It can be written as a sum of positive squares in 4 ways, for example, as 898704 + 32535616 = 948^2 + 5704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33434320² = 2235707507724800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33434291 and 33434300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33434321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13326 + ... + 15634.

It is an arithmetic number, because the mean of its divisors is an integer number (1954953).

Almost surely, 2^33434320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39099060).

33434320 is an abundant number, since it is smaller than the sum of its proper divisors (44763800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33434320 is a wasteful number, since it uses less digits than its factorization.

33434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 33434320 is about 5782.2417797944. The cubic root of 33434320 is about 322.1544723901.

Adding to 33434320 its reverse (2343433), we get a palindrome (35777753).

The spelling of 33434320 in words is "thirty-three million, four hundred thirty-four thousand, three hundred twenty".